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Finding the Fourth Proportional to 3,778.33, 5,212.59 and 2,184.68

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Solution

The fourth proportional to 3,778.33, 5,212.59 and 2,184.68 is: 3,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.33 : 5,212.59 = 2,184.68 : x
  2. Step 2: Convert to fraction form
    3,778.33/5,212.59 = 2,184.68/x
  3. Step 3: Cross multiply
    3,778.33x = 5,212.59 × 2,184.68
  4. Step 4: Simplify right side
    3,778.33x = 11,387,841.12
  5. Step 5: Solve for x
    x = 11,387,841.12/3,778.33
  6. Step 6: Final answer
    x = 3,013.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.